Beyond pair correlation

Abstract

The authors study the distribution of psi(x+h)-psi(x)-h and compare it with numerical data.

Abstract added in migration

Cited by in corpus (10)

• Unexpected biases in the distribution of consecutive primes
• Higher correlations of divisor sums related to primes III: k-correlations
• Nuclei, Primes and the Random Matrix Connection
• Small Gaps Between Primes I
• Some problems in analytic number theory for polynomials over a finite field
• Large prime gaps and probabilistic models
• The variance of integers without small prime factors in short intervals
• The error term in the Cesàro mean of the prime pair singular series
• More precise Pair Correlation Conjecture
• More precise pair correlation of zeros and primes in short intervals